Explore topic-wise MCQs in Aptitude.

This section includes 178 Mcqs, each offering curated multiple-choice questions to sharpen your Aptitude knowledge and support exam preparation. Choose a topic below to get started.

101.

The capacity of a cuboid tank of water is 50000 L. Find the breadth of the tank, if its length and depth are 2.5 m and 10 m, respectively.

A. 2 m
B. 4 m
C. 9 m
D. 6 m
Answer» B. 4 m
102.

The paint in certain container is sufficient to paint an area equal to dimensions 22.5 cm x 10 cm x 7.5 cm can be painted out of this container ?

A. 100
B. 200
C. 50
D. 175
Answer» B. 200
103.

What are the dimensions (length, breadth and height, respectively) of a cuboid with volume 720 cu cm, surface area 484 sq cm and the area of the base 72 sq cm ?

A. 9, 8 and 10 cm
B. 12, 6 and 10 cm
C. 18, 4 and 10 cm
D. 30, 2 and 12 cm
Answer» B. 12, 6 and 10 cm
104.

The volume of a cube is numerically equal to sum of its edges. What is the total surface area in square units ?

A. 12
B. 36
C. 72
D. 144
Answer» D. 144
105.

Three cubes of sides 1 cm, 6 cm and 8 cm are melted to form a new cube. Find half of the surface area of the new cube. ?

A. 243 sq cm
B. 463 sq cm
C. 486 sq cm
D. 293 sq cm
Answer» B. 463 sq cm
106.

If the total surface area of a cube is 6 sq units, then what is the volume of the cube ?

A. 1 cu unit
B. 2 cu units
C. 4 cu units
D. 6 cu units
Answer» B. 2 cu units
107.

Find the surface area of a cuboid 10 m long, 5 m broad and 3 m high ?

A. 105 sq m
B. 104 sq m
C. 170 sq m
D. 190 sq m
Answer» E.
108.

The volume of a cuboid is 1989 cm

A. 9 cm
B. 4 cm
C. 14 cm
D. 7 cm
Answer» B. 4 cm
109.

A spherical ball of lead, 3 cm in diameter is melted and recast into three spherical balls, The diameter of two of these are 1.5 cm and 2 cm respectively. The diameter of the third ball is ?

A. 2.66 cm
B. 2.25 cm
C. 3 cm
D. 3.5 cm
Answer» C. 3 cm
110.

Volume of a hemisphere is 19404 cubic cm. The total surface area is ?

A. 27772 sq. cm
B. 4158 sq. cm
C. 5544 sq. cm
D. 1386 sq. cm
Answer» C. 5544 sq. cm
111.

The cost of painting the four walls of a room is Rs. 350. The cost of painting a room three times in length, breadth and height respectively will be ?

A. Rs. 1050
B. Rs. 1400
C. Rs. 3150
D. Rs. 4200
Answer» D. Rs. 4200
112.

The diagonal of a cube is 2

A. 15 sq cm
B. 18 sq cm
C. 25 sq cm
D. 24 sq cm
Answer» E.
113.

A cylindrical piece of metal of radius 2 cm and height 6 cm is shaped into a cone of same radius. The height of the cone is ?

A. 18 cm
B. 14 cm
C. 12 cm
D. 8 cm
Answer» B. 14 cm
114.

Internal length, breadth and height of a rectangular box are 10 cm, 8 cm and 6 cm, respectively. How many boxes are needed which can be packed in a cube whose volume is 6240 cu. cm. ?

A. 12
B. 13
C. 15
D. 17
Answer» C. 15
115.

If the height of a come is doubled, then its volume is increased by ?

A. 100%
B. 200%
C. 300%
D. 400%
Answer» B. 200%
116.

If the radius of a sphere is doubled, then its volume is increased by ?

A. 100 %
B. 200 %
C. 700 %
D. 800 %
Answer» D. 800 %
117.

The radius of two cylinders are in the ratio of 2 : 3 and their height are in the ratio 5 : 3 . The ratio of their volumes is ?

A. 27 : 20
B. 20 : 27
C. 4 : 9
D. 9 : 4
Answer» C. 4 : 9
118.

A radius of the base of a right circular cone is 6 cm and its slant height is 28 cm. The curved surface area of the cone is ?

A. 268 sq. cm
B. 528 sq. cm
C. 462 sq. cm
D. 658 sq. cm
Answer» C. 462 sq. cm
119.

How many bullets can be made out of a cube of lead whose edge measures 22 cm, each bullet being 2 cm in diameter ?

A. 5324
B. 2662
C. 1347
D. 2541
Answer» E.
120.

The length of the wire of 0.2 mm radius that can be drawn after melting a solid copper sphere of diameter 18 cm, is ?

A. 24.3 m
B. 243 m
C. 2430 m
D. 24300 m
Answer» E.
121.

The number of solid spheres each of diameter 6 cm that could be moulded to form a solid metal cylinder 4 cm, is ?

A. 3
B. 4
C. 5
D. 6
Answer» D. 6
122.

The percentage increased in the surface area of a cube when each side is doubled, is ?

A. 25%
B. 50%
C. 150%
D. 300%
Answer» E.
123.

A right cylindrical vessel is full with water. How many right cones having the same diameter and height as those of the right cylinder will be needed to store that water ?

A. 2
B. 3
C. 4
D. 5
Answer» C. 4
124.

If the radius of a sphere is doubled, then its surface area is increased by ?

A. 100%
B. 200%
C. 300%
D. 50%
Answer» D. 50%
125.

A right cylinder and a right circular cone have the same radius and the same volume. The ratio of the height of the cylinder to that of the cone is ?

A. 3 : 5
B. 2 : 5
C. 3 : 1
D. 1 : 3
Answer» E.
126.

A cylindrical vessel of radius 4 cm contains water. A solid sphere of radius 3 cm is lowered into the water until it is completely immersed. The water level in the vessel will rise by ?

A. 4.5 cm
B. 2.25 cm
C. 4/9 cm
D. 2/9 cm
Answer» C. 4/9 cm
127.

A hollow garden roller 63 cm wide with a girth of 440 cm is made of iron 4 cm thick. The volume of iron used is ?

A. 56372 cubic m
B. 107712 cubic cm
C. 54982 cubic cm
D. 57636 cubic cm
Answer» C. 54982 cubic cm
128.

The radius of a circular cylinder is the same as that of a sphere. Their volumes are equal. The height of the cylinder is ?

A. 4/3 times its radius
B. 2/3 times its radius
C. Equal to the radius
D. Equals to its diameter
Answer» B. 2/3 times its radius
129.

A spherical lead ball of radius 10 cm is melted and small lead balls of radius 5 mm are made. The total number of possible small lead balls. ?

A. 800
B. 125
C. 400
D. 8000
Answer» E.
130.

A come of height 7 cm and base radius 3 cm is curved from a rectangular block of wood 10 cm x 5 cm x 2 cm. The percentage of wood wasted is ?

A. 34%
B. 46%
C. 54%
D. 66%
Answer» B. 46%
131.

The material of a cone is converted into the shape of a cylinder of equal radius . If the height of the cylinder is 5 cm. the height of the cone is ?

A. 10 cm
B. 15 cm
C. 18 cm
D. 24 cm
Answer» C. 18 cm
132.

If the volumes of two cones are in ratio 1 : 4 and their diameter are in the ratio 4 : 5, then the ratio of their heights is ?

A. 1 : 5
B. 5 : 4
C. 5 : 16
D. 25 : 64
Answer» E.
133.

A cylindrical vessel 60 cm in diameter is partially filled with water. A sphere 60 cm in diameter is gently dropped into the vessel. To what further height will water rise in the cylinder ?

A. 15 cm
B. 30 cm
C. 40 cm
D. 25 cm
Answer» D. 25 cm
134.

If each side of a cube is decreased by 19%, then decrease in surface area is ?

A. 40%
B. 38.4%
C. 35%
D. 34.39%
Answer» E.
135.

If the side of a cube is increased by 12%, by how much per cent does its volume increase ?

A. 40.4928%
B. 50.5240%
C. 60.3292%
D. 30.4928%
Answer» B. 50.5240%
136.

The diameter of the base of a right circular cylinder is 14 cm, while its length is 40 cm. Find the total surface area of the cylinder. ?

A. 2068 sq cm
B. 1825 sq cm
C. 1925 sq cm
D. 2160 sq cm
Answer» B. 1825 sq cm
137.

If the lateral surface area of a cylinder is 94.2 sq cm and its height is 5 cm, then find the radius of its base. ( = 3.14) ?

A. 5 cm
B. 8 cm
C. 3 cm
D. 4 cm
Answer» D. 4 cm
138.

What is the height of a solid cylinder of radius 5 cm and total surface area is 660 sq cm ?

A. 10 cm
B. 12 cm
C. 15 cm
D. 16 cm
Answer» E.
139.

What will be the curved surface area of a right circular cylinder having length 160 cm and radius of the base is 7 cm ?

A. 6020 sq cm
B. 5052 sq cm
C. 7045 sq cm
D. 7040 sq cm
Answer» E.
140.

If the ratio of volumes of two cones is 2 : 3 and the ratio of the radii of their bases is 1 : 2, then the ration of their heights will be ?

A. 3 : 8
B. 8 : 3
C. 9 : 2
D. 8 : 1
Answer» C. 9 : 2
141.

The ratio of the radius and height of a cone is 5 : 12. Its volume is 314

A. 18 cm
B. 13 cm
C. 16 cm
D. 15 cm
Answer» C. 16 cm
142.

The diameter of the Moon is approximately one-fourth of the diameter of the Earth. What is the ratio (approximate) of their volumes ?

A. 4 : 16
B. 1 : 64
C. 1 : 4
D. 1 : 128
Answer» C. 1 : 4
143.

Find the number of lead balls of diameter 2 cm each, that can be made from a sphere of diameter 16 cm. ?

A. 2048
B. 2055
C. 2058
D. None of the above
Answer» E.
144.

A hemispherical bowl has 3.5 cm radius. It is to be painted inside as well as outside. Find the cost of painting it at the rate of 5 per 10 sq cm. ?

A. 50
B. 81
C. 56
D. 77
Answer» E.
145.

If the radius of a sphere is increased by 100%, by what per cent does its volume increase ?

A. 300%
B. 900%
C. 500%
D. 700%
Answer» E.
146.

Weight of a solid metallic sphere of radius 4 cm is 4 kg. The weight of a hollow sphere made with same metal, whose outer diameter is 16 cm and inner diameter is 12 cm, is ?

A. 20.5 kg
B. 15.5 kg
C. 16.5 kg
D. 18.5 kg
Answer» E.
147.

Find the area of the iron sheet required to prepare a cone double the height of 12 cm with diameter of the base 14 cm. ?

A. 504 sq cm
B. 804 sq cm
C. 304 sq cm
D. 704 sq cm
Answer» E.
148.

What part of a ditch 48 m long, 16.5 m broad and 4 m deep can be filled by the earth got by digging a cylindrical tunnel of diameter 4 m and length 56 m ?

A. 1/9
B. 2/9
C. 7/9
D. 8/9
Answer» C. 7/9
149.

Water flows into a tank 100 m x 150 m x 2 m through a rectangular pipe 1.5 m x 1.25 m at a speed of 20 km/h. In what time, will the water rise by 2 m ?

A. 96 min
B. 50 min
C. 48 min
D. 75 min
Answer» D. 75 min
150.

A hospital room is to accommodate 56 patients. It should be done in such a way that every patient gets 2.2 m

A. 8.8 m, 4 m
B. 8.4 m, 4.2 m
C. 8 m, 4 m
D. 7.8 m, 4.2 m
Answer» B. 8.4 m, 4.2 m